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In quantum field theory the C-theorem states that there exists a positive real function, , depending on the coupling constants of the quantum field theory considered, , and on the energy scale, , which has the following properties: * decreases monotonically under the renormalization group (RG) flow. * At fixed points of the RG flow, which are specified by a set of fixed-point couplings , the function is a constant, independent of energy scale.

Attributes	Values
rdfs:label	C-theorem (en) Théorème C (fr) C-정리 (ko)
rdfs:comment	En physique théorique, spécifiquement en théorie quantique des champs, le théorème-C dit qu'il existe une fonction positive réelle, , dépendant des constantes de couplage de la théorie quantique des champs considérés, , et de l’échelle d'énergie, , qui a les propriétés suivantes : * qui décrit de manière monotone sous l'effet du groupe de renormalisation (GR). * à des points fixes du groupe de renormalisation, qui sont spécifiés par des couplages de points fixes , la fonction est constante, indépendamment de l’échelle d'énergie. (fr) 양자장론에서 c-정리(c-定理, 영어: c-theorem)는 2차원 양자장론들의 공간 위에서, 양자장론의 자유도의 수를 나타내고, 재규격화군 흐름에 따라서 단조적으로 감소하는 함수 c가 존재한다는 정리다. 이는 재규격화군에 따라 높은 에너지의 물리가 잊혀지므로 그에 따라 자유도가 감소하는 것으로 해석할 수 있다. 재규격화군의 고정점에서, c는 등각 장론의 비라소로 대수의 중심 전하가 된다. (ko) In quantum field theory the C-theorem states that there exists a positive real function, , depending on the coupling constants of the quantum field theory considered, , and on the energy scale, , which has the following properties: * decreases monotonically under the renormalization group (RG) flow. * At fixed points of the RG flow, which are specified by a set of fixed-point couplings , the function is a constant, independent of energy scale. (en)
dcterms:subject	Conformal field theory Theorems in quantum mechanics Renormalization group Mathematical physics
Wikipage page ID	6333385 (xsd:integer)
Wikipage revision ID	1121152080 (xsd:integer)
Link from a Wikipage to another Wikipage	Quantum field theory Hugh Osborn Renormalization group Limit cycle Coupling constant Alexander Zamolodchikov Conformal field theory Zohar Komargodski Conformal field theory Theorems in quantum mechanics Weizmann Institute of Science Central charge Renormalization group Mathematical physics John Cardy Two-dimensional conformal field theory RG flow
sameAs	C-theorem C-theorem C-theorem C-theorem C-theorem C-theorem
dbp:wikiPageUsesTemplate	dbt:Mvar dbt:Reflist dbt:Short_description
has abstract	In quantum field theory the C-theorem states that there exists a positive real function, , depending on the coupling constants of the quantum field theory considered, , and on the energy scale, , which has the following properties: * decreases monotonically under the renormalization group (RG) flow. * At fixed points of the RG flow, which are specified by a set of fixed-point couplings , the function is a constant, independent of energy scale. The theorem formalizes the notion that theories at high energies have more degrees of freedom than theories at low energies and that information is lost as we flow from the former to the latter. (en) En physique théorique, spécifiquement en théorie quantique des champs, le théorème-C dit qu'il existe une fonction positive réelle, , dépendant des constantes de couplage de la théorie quantique des champs considérés, , et de l’échelle d'énergie, , qui a les propriétés suivantes : * qui décrit de manière monotone sous l'effet du groupe de renormalisation (GR). * à des points fixes du groupe de renormalisation, qui sont spécifiés par des couplages de points fixes , la fonction est constante, indépendamment de l’échelle d'énergie. (fr) 양자장론에서 c-정리(c-定理, 영어: c-theorem)는 2차원 양자장론들의 공간 위에서, 양자장론의 자유도의 수를 나타내고, 재규격화군 흐름에 따라서 단조적으로 감소하는 함수 c가 존재한다는 정리다. 이는 재규격화군에 따라 높은 에너지의 물리가 잊혀지므로 그에 따라 자유도가 감소하는 것으로 해석할 수 있다. 재규격화군의 고정점에서, c는 등각 장론의 비라소로 대수의 중심 전하가 된다. (ko)
prov:wasDerivedFrom	wikipedia-en:C-theorem?oldid=1121152080&ns=0
page length (characters) of wiki page	5197 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:C-theorem
is Link from a Wikipage to another Wikipage of	Hugh Osborn Renormalization group Index of physics articles (C) Alexander Zamolodchikov Conformal field theory Zohar Komargodski A-theorem List of theorems
is Wikipage redirect of	A-theorem
is known for of	Hugh Osborn Alexander Zamolodchikov Zohar Komargodski
is known for of	Hugh Osborn Alexander Zamolodchikov Zohar Komargodski
is foaf:primaryTopic of	wikipedia-en:C-theorem

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